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In this paper we propose some mathematical models for the transmission of dengue using a system of reaction-diffusion equations. The mosquitoes are divided into infected, uninfected and aquatic subpopulations, while the humans, which are…

Analysis of PDEs · Mathematics 2018-11-21 Felipo Bacani , Stylianos Dimas , Igor Leite Freire , Norberto Anibal Maidana , Mariano Torrisi

We investigate how key epidemiological parameters shape both seasonal epidemics and the persistence of dengue transmission. Our findings confirm known mechanistic drivers of epidemic variability and introduce a ranking of parameter…

Populations and Evolution · Quantitative Biology 2026-05-22 Cesar Alberto Rosales-Alcantar , Marcos A. Capistrán

During the last decades, the global prevalence of dengue progressed dramatically. It is a disease which is now endemic in more than one hundred countries of Africa, America, Asia and the Western Pacific. This study addresses a mathematical…

Dengue is a viral infection that can produce a severe fever and symptoms that may require hospitalization. It is transmitted between humans by the urban-adapted, day-biting Aedes mosquitoes and is therefore a particular problem in towns and…

We construct an epidemic model for the transmission of dengue fever with an early-life stage in the vector dynamics and age-structure within hosts. The early-life stage of the vector is modeled via a general function that supports multiple…

Populations and Evolution · Quantitative Biology 2019-10-01 Fabio Sanchez , Juan G. Calvo

Epidemiological models may give some basic guidelines for public health practitioners, allowing to analyze issues that can influence the strategies to prevent and fight a disease. To be used in decision-making, however, a mathematical model…

Populations and Evolution · Quantitative Biology 2013-08-15 Helena Sofia Rodrigues , M. Teresa T. Monteiro , Delfim F. M. Torres

We present a SIR+ASI epidemic model to describe the interaction between human and dengue fever mosquito populations. A control strategy in the form of vaccination, to decrease the number of infected individuals, is used. An optimal control…

Optimization and Control · Mathematics 2011-09-19 Helena Sofia Rodrigues , M. Teresa T. Monteiro , Delfim F. M. Torres

The transmission of vector infectious diseases, which produces complex spatiotemporal patterns, is analyzed by a periodically forced two-dimensional cellular automata model. The system, which comprises three population levels, is introduced…

Cellular Automata and Lattice Gases · Physics 2008-10-03 L. B. L. Santos , M. C. Costa , S. T. R. Pinho , R. F. S. Andrade , F. R. Barreto , M. G. Teixeira , M. L. Barreto

Dengue, a mosquito-borne viral disease common in tropical areas, is spread by Aedes aegypti and Aedes albopictus. Temperature changes driven by climate affect vector ecology and expand regions of species coexistence. The combined effect of…

Populations and Evolution · Quantitative Biology 2025-09-16 Santiago Andrés Villamil Chacón , Mauricio Santos-Vega

In this work we explore the effects of human mobility on the dispersion of a vector borne disease. We combine an already presented stochastic model for dengue with a simple representation of the daily motion of humans on a schematic city of…

Populations and Evolution · Quantitative Biology 2015-05-27 Daniel H Barmak , Claudio O Dorso , Marcelo Otero , Hernán G Solari

Dengue is a vector-borne viral disease increasing dramatically over the past years due to improvement in human mobility. The movement of host individuals between and within the patches are captured via a residence-time matrix. A system of…

Populations and Evolution · Quantitative Biology 2018-10-04 Wolfgang Bock , Yashika Jayathunga

Dengue is a vector-borne disease and 40% of world population is at risk. Dengue transcends international borders and can be found in tropical and subtropical regions around the world, predominantly in urban and semi-urban areas. A model for…

Populations and Evolution · Quantitative Biology 2016-08-10 Helena Sofia Rodrigues , M. Teresa T. Monteiro , Delfim F. M. Torres , Ana Clara Silva , Carla Sousa , Cláudia Conceição

Dengue fever impacts populations across the tropics. Dengue is caused by a mosquito transmitted flavivirus and its burden is projected to increase under future climate and development scenarios. The transmission process of dengue virus is…

Dengue virus has caused major problems for public health officials for decades in tropical and subtropical countries. We construct a compartmental model that includes the risk of hospitalization and its impact on public health policies. The…

Populations and Evolution · Quantitative Biology 2019-08-09 Fabio Sanchez , Jorge Arroyo-Esquivel , Paola Vasquez

Dengue fever is a disease which is transmitted and caused by Aedes Aegypti mosquitos. Dengue has become a serious health issue in all over the world especially in those countries who are situated in tropical or subtropical regions because…

Computers and Society · Computer Science 2015-11-24 Kamran Shaukat , Nayyer Masood , Ahmed Bin Shafaat , Kamran Jabbar , Hassan Shabbir , Shakir Shabbir

Urbanization drives the epidemiology of infectious diseases to many threats and new challenges. In this research, we study the interplay between human mobility and dengue outbreaks in the complex urban environment of the city-state of…

Populations and Evolution · Quantitative Biology 2019-10-09 Emanuele Massaro , Daniel Kondor , Carlo Ratti

It is possible to model vector-borne infection using the classical Ross-Macdonald model. This attempt, however fails in several respects. First, using measured (or estimated) parameters, the model predicts a much greater number of cases…

During the last decades, the global prevalence of dengue progressed dramatically. It is a disease that is now endemic in more than one hundred countries of Africa, America, Asia, and the Western Pacific. In this paper, we present a…

After their re-emergence in the last decades, dengue fever and other vector-borne diseases are a potential threat to the lives of millions of people. Based on a data set of dengue cases in the Brazilian city of Fortaleza, collected from…

As offered by the World Health Organisation (WHO), close to half of the population in the world's resides in dengue-risk zones. Dengue viruses are transmitted to individuals by Aedes mosquito species infected bite (Ae. Albopictus of Ae.…

Populations and Evolution · Quantitative Biology 2025-03-12 Burcu Gürbüz , Aytül Gökçe , Segun I. Oke , Michael O. Adeniyi , Mayowa M. Ojo